Hybrid Function Representation with Distance Properties

A. Tereshin, V. Adzhiev, O. Fryazinov, A. Pasko
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引用次数: 2

Abstract

This paper describes a novel framework allowing for a hybrid representation of heterogeneous objects. We consider the advantages and drawbacks of the conventional representations based on scalar fields of different kinds. The main result is introducing a hybrid representation called Hybrid Function Representation (HFRep) that preserves the advantages of the Function Representation (FRep) and Signed Distance Fields (SDFs) without their drawbacks. This new representation allows for obtaining a continuous smooth distance field in the Euclidean space for the FRep. We present the mathematical basics for our approach that uses the Discrete Distance Transform (DDT) and a step-function. The procedure for generation HFRep using continuous interpolation and smoothing techniques are also described. A few examples show how the approach works in practice.
具有距离属性的混合函数表示
本文描述了一个允许异构对象混合表示的新框架。考虑了基于不同类型标量场的传统表示方法的优缺点。其主要结果是引入了一种称为混合函数表示法(HFRep)的混合表示法,它保留了函数表示法(FRep)和签名距离域(sdf)的优点,而没有缺点。这种新的表示允许在欧几里得空间中获得FRep的连续光滑距离场。我们提出了使用离散距离变换(DDT)和阶跃函数的方法的数学基础。使用连续插值和平滑技术生成HFRep的过程也进行了描述。有几个例子说明了这种方法在实践中是如何工作的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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